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Analytic Model of Catastrophic Yaw

机译:灾难性偏航的解析模型

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摘要

A quantitative model of the nonlinear motion leading to catastrophic yaw of finned missiles is presented. The coupled roll-yaw dynamics of the missile, acted on by the trim angle of attack due to slight conflgurationai asymmetries, is represented by pitch, yaw, and roll equations of motion that include cubic aerodynamic coefficients and roll-orientation-dependent induced moments. The steady-state equilibrium points of the system are found and their stability is determined by linearization. The solutions are evaluated by comparison with numerical integration of the equations of motion, proving the capability of the model to predict catastrophic yaw.
机译:提出了导致鳍状导弹灾难性偏航的非线性运动的定量模型。导弹的侧倾偏航动力学由于轻微的不对称性而受到微调迎角的作用,由俯仰,偏航和侧倾运动方程表示,这些方程包括立方空气动力学系数和与侧倾方向相关的诱导力矩。找到系统的稳态平衡点,并通过线性化确定其稳定性。通过与运动方程的数值积分进行比较来评估解决方案,证明了该模型预测灾难性偏航的能力。

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